Abstract

SANCHEZ, Fabio  and  CALVO, Juan G.. The role of short-term immigration on disease dynamics: an sir model with age-structure. Rev. Mat [online]. 2019, vol.26, n.1, pp.139-159. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v26i1.35529.

[14]

We formulate an age-structured nonlinear partial differential equation model that features short-term immigration effects in a population. In- dividuals can immigrate into the population as any of the three stages in the model: susceptible, infected or recovered. Global stability of the immigration-free and infection-free equilibria is discussed. A generalized numerical framework is established and specific short-term immigration scenarios are explored.

Keywords : age-structured model; epidemic models; immigration; migratory effects; finite difference methods.

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